Home
Class 12
MATHS
If p,q are the roots of ax^(2)-25x+c=0, ...

If p,q are the roots of `ax^(2)-25x+c=0`, then `p^(3)q^(3)+p^(2)q^(3)+p^(3)q^(2)=`

A

`(c^(2)(c+25))/(a^3)`

B

`(c^(3)(c-25))/(a^3)`

C

`(bc^3)/(a^3)`

D

`(bc^2)/(a^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c) p^2q^2=2q (d) none of these

If p and q are the roots of the equation x^(2)+px+q=0 , then

Let p, q in R . If 2- sqrt3 is a root of the quadratic equation, x^(2)+px+q=0, then (A) q^(2)-4p-16=0 (B) p^(2)-4q-12=0 (C) p^(2)-4q+12=0 (D) q^(2)-4p+14=0

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then (a) p^2=q^2 (b) p^2=8q^2 (c) p^2 8q^2

If p and q are the roots of the equation lx^2 + nx + n = 0 , show that sqrt(p/q) + sqrt(q/p)+ sqrt(n/l) = 0 .

Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The point R inside the triangle O P Q is such that the triangles O P R ,P Q R ,O Q R are of equal area. The coordinates of R are (a) (4/3,3) (b) (3,2/3) (c) (3,4/3) (d) (4/3,2/3)

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation 2x^(2)+2(p+q)x+p^(2)+q^(2)=0

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If p,q are the roots of ax^(2)-25x+c=0, then p^(3)q^(3)+p^(2)q^(3)+p^(...

    Text Solution

    |

  2. If the ratio of roots of x^(2)+bx+c=0" and "x^(2)+qx+r=0 is the same, ...

    Text Solution

    |

  3. Area of the triangle in the Argand diagram formed by the complex numbe...

    Text Solution

    |

  4. If omega is an imaginary cube root of 1, then (1+omega-omega^(2))^(5)+...

    Text Solution

    |

  5. If |z-3+i|=4, then the locus of z is

    Text Solution

    |

  6. If x satisfies x^(2)-2x cos theta +1=0, then the value of x^(n)+((1)/(...

    Text Solution

    |

  7. The value of [((-1+isqrt(3)))/(2)]^(3n)+[((-1-isqrt(3)))/(2)]^(3n) is

    Text Solution

    |

  8. If theta= (pi)/(6), then the 10th term of the series 1+(cos theta +isi...

    Text Solution

    |

  9. If 4=5i is a root of the quadratic equation x^(2)+ax+b=0, then (a,b)=

    Text Solution

    |

  10. If alpha" and "beta are the roots of the quadratic equation 4x^(2)+3x+...

    Text Solution

    |

  11. If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k...

    Text Solution

    |

  12. If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where p ne q, then the equation wh...

    Text Solution

    |

  13. The value of ((-1+sqrt(-3))/(2))^(26)+((-1-sqrt(-3))/(2))^(26) is

    Text Solution

    |

  14. If (sqrt(3)-i)^(50)= 2^(48)(x-iy), then x^(2)+y^(2) is equal to

    Text Solution

    |

  15. The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...

    Text Solution

    |

  16. If |(z-i)/(z+i)|=1, then the locus of z is

    Text Solution

    |

  17. The condition that one root of the equation ax^(2)+bx+c=0 may be squar...

    Text Solution

    |

  18. If alpha is one root of the equation 4x^(2)+2x-1=0, then the other roo...

    Text Solution

    |

  19. If the roots of the equation (a)/(x-a)+(b)/(x-b)=1 are equal in magnit...

    Text Solution

    |

  20. The equation of smallest degree with real coefficients having 2+i3 as ...

    Text Solution

    |